No pull down choices but you can change search engines in settings. It uses the address bar as the search input window.
I have installed Opera. The Home page features something called “Speed Dial” which I guess is a little like the drop-down search engines of Firefox. However, I am having trouble figuring out bookmarks in Opera. I want to import my Chrome bookmarks (which were imported from Firefox). I don’t even see “Bookmarks” anywhere on the browser. Is “Stash” the Opera version of bookmarks? If not, is there a way to add bookmarks to the toolbar? I’ve tried googling this with no success.